Math. 362-03 syllabus, spring, 2019
(Ralph Baker Kearfott, rbk@louisiana.edu, (337) 482-5270)

Wiley Plus problems on each topic will be given as
the topics are presented.  The topics and sections
are from "Elementary Linear Algebra, Applications Version",
11th edition, by Howard Anton and Chris Rorres.  This 
schedule will be modified as we proceed.

 	Section		Material

 1.   1.1		Intro. to linear systems
 			(geometry, row operations)

 2-3. 1.2		Gaussian elimination
			(Row echelon and reduced row
			echelon form; free variables,
			homogeneous systems)
 
 4.   1.3 Matrix operations
 
 5.   1.4 Algebraic properties, inverses	        	

 6.   1.5 Elementary row operations and computing
          inverses
          
 7.   1.6 Properties of systems of equations
          and invertible matrices
          
      1.7 Matrices with special structure
          (tridiagonal, etc.)
 
 8.   1.8 matrices as linear transformations.

 9.   Exam

10.   2.1, 2.2  Determinants by cofactor expansion
 		          and by row reduction.

11.   2.3 Cramer's rule

12.   catch-up or review

13.   Second exam

14.   3.1, 3.2	vectors, norm, dot-product, distance

15.   3.3 Orthogonality

16.   3.4 Geometry of linear systems

17.   3.5 Cross product

18.   Third exam

19.	5.1 eigenvalues and eigenvectors; bases

20.	5.2, 5.3	diagonalization, matrix factorizations, 
			      complex vector spaces.

21.	5.4 eigenvalues and eigenvectors in differential
			 equations.

22.	Review

23.	Fourth exam

26.	Review

27.	Time permitting, we will also cover topics from
      chapter 4.